% Formatting mathematical part
\documentclass[11pt,a4paper,oneside]{article}
\usepackage[latin1]{inputenc}
\title{Mathematical Typesetting}
\author{KR Chowdhary \\CSE Department}
\date{\today}
\begin{document}
\maketitle
% Lists
%L TEX provides the following list environments:
%• enumerate for numbered lists,
%• itemize for un-numbered lists,
%• description for description lists
%Numbered lists are produced using
%\begin{enumerate} ... \end{enumerate}
A \emph{metric space} $(X,d)$ consists of a set~$X$ on
which is defined a \emph{distance function} which assigns
to each pair of points of $X$ a distance between them,
and which satisfies the following four axioms:
\begin{enumerate}
\item $d(x,y) \geq 0$ for all points $x$ and $y$ of $X$;
\item $d(x,y) = d(y,x)$ for all points $x$ and $y$ of $X$;
\item $d(x,z) \leq d(x,y) + d(y,z)$ for all points $x$, $y$ and $z$ of $X$;
\item $d(x,y) = 0$ if and only if the points $x$ and $y$ coincide.
\end{enumerate}
%Un-numbered lists are produced using
%\begin{itemize} ... \end{itemize}
\textbf{Un-numbered list by itemize:}
\begin{itemize}
\item $d(x,y) \geq 0$ for all points $x$ and $y$ of $X$;
\item $d(x,y) = d(y,x)$ for all points $x$ and $y$ of $X$;
\item $d(x,z) \leq d(x,y) + d(y,z)$ for all points $x$, $y$ and $z$ of $X$;
\item $d(x,y) = 0$ if and only if the points $x$ and $y$ coincide.
\end{itemize}
\textbf{Un-numbered list by description:}
\begin{description}
\item $d(x,y) \geq 0$ for all points $x$ and $y$ of $X$;
\item $d(x,y) = d(y,x)$ for all points $x$ and $y$ of $X$;
\item $d(x,z) \leq d(x,y) + d(y,z)$ for all points $x$, $y$ and $z$ of $X$;
\item $d(x,y) = 0$ if and only if the points $x$ and $y$ coincide.
\end{description}
% Displayed Quotations
Isaac Newton discovered the basic techniques of the differential and integral calculus, and applied them in the study of many problems in mathematical physics. His main mathematical works are the \emph{Principia} and the \emph{Optics}.
He summed up his own estimate of his work as follows:
\begin{quote}
I do not know what I may appear to the world; but to myself I seem to have been only like a boy, playing on the sea-shore, and diverting myself, in now and
then finding a smoother pebble, or a prettier shell than ordinary, whilst the great ocean of truth lay all undiscovered before me.
\end{quote}
In later years Newton became embroiled in a bitter
priority dispute with Leibniz over the \textquotedblleft discovery\textquotedblright
of the basic techniques of calculus.
\end{document}